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artcher [175]
3 years ago
9

A rectangular yard is enclosed by 100 meters of fencing. The table shows some possible values for the length and width of the ya

rd.
>The area is in square meters<

Length (meters): Width (meters): Area:
10 40 400
20 30 _
25 25 625
35 15 525
40 _ _


1. Complete the table with the missing values
Mathematics
1 answer:
Kryger [21]3 years ago
5 0
10 40 400
20 30 600
25 25 625
35 15 525
40 60 2400
I think
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The outer edge of the dime is about 55mm. What is the approximate length of the radius?
lozanna [386]
To find the approximate length of the radius, you will use the formula for finding the circumference of a circle and solve for the radius (r).

C = 2 x pi x r
55 = 2 x 3.14 x r
<u>55 </u>= <u>6.28 x r</u>
6.28   6.28
r = 9.2 mm

The approximate radius is 9.2 mm.
3 0
3 years ago
If f(1)=3 and f(n)=-2f(n-1)+ 1, then f(5)=
AlladinOne [14]
Our function is f(n)=-2f(n-1)+1.
We want to find f(5).
Let's substitute 5 for n.
f(5) = -2f(5-1) + 1
f(5) = -2f(4) + 1
We need to know f(4).
f(4) = -2f(4-1) + 1
f(4) = -2f(3) + 1
We need to know f(3).
f(3) = -2f(3-1) + 1
f(3) = -2f(2) + 1
We need to know f(2).
f(2) = -2f(2-1) + 1
f(2) = -2f(1) + 1
We know that f(1) = 3
f(2) = -2(3) + 1
f(2) = -6 + 1
f(2) = -5
Now we can use f(2) = -5 to find f(3)...
f(3) = -2(-5) + 1
f(3) = 10 + 1
f(3) = 11
Now we can use f(3) = 11 to find f(4)...
f(4) = -2(11) + 1
f(4) = -22 + 1
f(4) = -21
Now we can use f(4) = -21 t find f(5)!
f(5) = -2(-21) + 1
f(5) = 42 + 1
f(5) = 43
7 0
2 years ago
Read 2 more answers
In the inequality, what are all the possible values of x?
tangare [24]

Answer:

A

Step-by-step explanation:

-8*2+6≤2(-3*2+1)

= -10≤-10

5 0
2 years ago
9. The ratio of Joe's weight to Colin's is 2:3. Colin's weight is 36kg. If Joe gains
STatiana [176]
2:3
?:36

36/3=13
2x13=26

26:36

26+3=29

29:36
6 0
2 years ago
WILL MAKE BRAINLIEST!!! A Ferris wheel has a diameter of 220 feet and the center of the wheel is 125 feet above the ground. The
daser333 [38]
Since the radius of a circle is half its diameter, the radius of our Ferris wheel is r= \frac{220}{2} =110ft

Next, we are going to convert from revolutions per minute to degrees per second.
We know that t<span>he wheel makes a complete turn every 2 minutes, so it makes a complete turn in 120 seconds. Since there are 360° in a complete turn, we can set up our conversion factor:
</span>\frac{1*360}{120}=3 degrees per second 
<span>
Now, lets find the height:
</span>We know that <span>the passenger is at the lowest point on the wheel when t=0; since the wheel is 125 feet above the ground, at t=0 h=125. To find t at the top, we are going to take advantage of the fact that the wheel will turn 180° from the lowest point to the top and that it turns 3° every second:
</span>t= \frac{180}{3}
t=60
Notice that the height at the top is the diameter of the wheel plus the height above the ground, so h=220+125=345.

To model the situation we are going to use the cosine function, but notice that cos (\alpha) is 1 when \alpha =0 and -1 wen \alpha =180. Since we want the opposite, we are going to use negative cosine.
Notice that we want \alpha =180 when t=60, so we are going to use -cos(3t). Next, we are going to multiply our cosine by the radius of our wheel: -110cos(3t), and last but not least we are going to add the sum of the radius of the wheel plus the height above the ground:
h=110+125-110cos(3t)
h=225-110cos(3t)

Now that we have our height function lets check if everything is working:
<span>the passenger is at the lowest point at t=0; we also know that the lowest point is 125 feet above the ground, so lets evaluate our function at t=0:
</span>h=225-110cos(3t)
h=225-110cos(3*0)
h=125 feet 
So far so good. 
We also know that at t=60, our passenger is 345 feet above the ground, so lets evaluate our function at t=60 and check if coincides:
h=225-110cos(3t)
h=225-110cos(3*60)
h=225-110cos(180)
h=345feet 

We can conclude that cosine function that express the height h (in feet) of a passenger on the wheel as a function of time t (in minutes) ) is: h=225-110cos(3t)
8 0
3 years ago
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